document.write( "Question 814626: Two years ago ,father was thee times as his son and two years hence,twice his age will be equal to five times that of his son.find their present ages \n" ); document.write( "
Algebra.Com's Answer #490502 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let f = father's present age \n" ); document.write( "let s = son's age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement, simplify as much as possible: \n" ); document.write( "; \n" ); document.write( "Two years ago, father was thee times as his son and \n" ); document.write( "f - 2 = 3(s-2) \n" ); document.write( "f - 2 = 3s - 6 \n" ); document.write( "f = 3s - 6 + 2 \n" ); document.write( "f = 3s - 4 \n" ); document.write( ": \n" ); document.write( " two years hence, twice his age, will be equal to five times that of his son. \n" ); document.write( "2(f + 2) = 5(s + 2) \n" ); document.write( "2f + 4 = 5s + 10 \n" ); document.write( "2f = 5s + 10 - 4 \n" ); document.write( "2f = 5s + 6 \n" ); document.write( "Replace f with (3s-4) from the 1st statement equation \n" ); document.write( "2(3s - 4) = 5s + 6 \n" ); document.write( "6s - 8 = 5s + 6 \n" ); document.write( "6s - 5s = 6 + 8 \n" ); document.write( "s = 14 yrs is the son's age \n" ); document.write( "then \n" ); document.write( "f = 3(14) - 4 \n" ); document.write( "f = 38 yrs is the father's age \n" ); document.write( ": \n" ); document.write( "You can see if that checks out in both statements\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |